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Finding the Fourth Proportional to 51,583.98, 71,216.96 and 33,708.90

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Solution

The fourth proportional to 51,583.98, 71,216.96 and 33,708.90 is: 46,538.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,583.98 : 71,216.96 = 33,708.90 : x
  2. Step 2: Convert to fraction form
    51,583.98/71,216.96 = 33,708.90/x
  3. Step 3: Cross multiply
    51,583.98x = 71,216.96 × 33,708.90
  4. Step 4: Simplify right side
    51,583.98x = 2,400,645,382.94
  5. Step 5: Solve for x
    x = 2,400,645,382.94/51,583.98
  6. Step 6: Final answer
    x = 46,538.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.